Question

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Все два
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Answer 1

$1) \ \dfrac{a^{2}-2\sqrt{5}a+5 }{a-\sqrt{5} } =\dfrac{(a-\sqrt{5})^{2}}{a-\sqrt{5} }=\boxed{a-\sqrt{5}}\\\\\\2)\dfrac{5+2\sqrt{6} }{\sqrt{3}+\sqrt{2}}=\dfrac{3+2\sqrt{6}+2 }{\sqrt{3}+\sqrt{2}} =\dfrac{(\sqrt{3})^{2}+2\cdot\sqrt{3}\cdot\sqrt{2} +(\sqrt{2})^{2}}{\sqrt{3} +\sqrt{2} } =\\\\\\=\dfrac{(\sqrt{3} +\sqrt{2})^{2}}{\sqrt{3}+\sqrt{2} } =\boxed{\sqrt{3} +\sqrt{2}}$